名校
解题方法
1 . 已知圆,点
为圆
上一动点,
为坐标原点,则下列说法中正确的是( )
A.![]() ![]() |
B.![]() ![]() |
C.直线![]() ![]() |
D.以线段![]() ![]() ![]() |
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2023-07-26更新
|
1168次组卷
|
6卷引用:湖南省株洲市第二中学2022届高三上学期期中数学试题
湖南省株洲市第二中学2022届高三上学期期中数学试题广西壮族自治区河池市2022-2023学年高二下学期期末教学质量检测数学试题(已下线)第二章 直线和圆的方程 章末测试(提升)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)云南省开远市第一中学校2024届高三上学期开学考试数学试题吉林省白城市洮南市第一中学2023-2024学年高二上学期期中数学试题(已下线)专题2.3 圆与圆的位置关系(2个考点六大题型)-2023-2024学年高二数学《重难点题型·高分突破》(苏教版2019选择性必修第一册)
2 . 在平面直角坐标系中点
,圆
的圆心在
轴正半轴上,半径为
,且直线
与圆
相切.
(1)求直线
的方程;
(2)求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ccf8d0d1510ea9021014e558fd5263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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名校
解题方法
3 . 在平面直角坐标系xOy中,已知直线l过点
,圆
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e44d6bb8e93884409b415abea21137.png)
A.过点![]() ![]() |
B.若直线l的一个方向向量为![]() ![]() ![]() |
C.若直线l的一个方向向量为![]() ![]() |
D.当m=-8时,直线与圆C相交的最短弦长为2 |
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名校
4 . 如图,已知点
是直线
上任意一点,点
是直线
上任意一点,连接
,在线段
上取点
使得
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/b55334fd-c7cb-42dc-b0c7-25fc3accba3b.png?resizew=217)
(1)求动点
的轨迹方程;
(2)已知点
,是否存在点
,使得
?若存在,求出点
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f0a54331c862854799cf40f2babe27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49696d0302f7c498b50cbbbae12e7db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92a3d0587624ba34116f436dde0265c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/b55334fd-c7cb-42dc-b0c7-25fc3accba3b.png?resizew=217)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4500d7d98cb3d03ff5651d0c412370e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d3306a9f91ee825bd2c4955ee800c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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5 . 已知直线
与圆
相交于
两点,直线
与圆
相交于
两点,圆心
到直线
的距离分别为
,若
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2f1c1409a06278e847e6b573cef254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f598170c5421303cbb7bbc6f0059e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3d49b5c5909cdefb65de15d1a2bf0e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知
为坐标原点,圆
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308654726f4a17ca10e915667ca77a27.png)
A.圆![]() ![]() |
B.圆![]() ![]() |
C.直线![]() ![]() ![]() |
D.直线![]() ![]() |
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2022-01-23更新
|
755次组卷
|
5卷引用:山东省青岛市4区县2021-2022学年高三上学期期末考试数学试题
7 . 如图,圆A内切于
,半径为1,
.
![](https://img.xkw.com/dksih/QBM/2022/3/10/2933292230918144/2948224848199680/STEM/4f2021bc-48c2-4974-8245-398d52de8dca.png?resizew=120)
(1)当
时,求
的长;
(2)当
的长最短时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7df99fe6438442a9453fc0c57fb703.png)
![](https://img.xkw.com/dksih/QBM/2022/3/10/2933292230918144/2948224848199680/STEM/4f2021bc-48c2-4974-8245-398d52de8dca.png?resizew=120)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d115e4e9548fa3f2308486b76aa12da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
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2021高二·江苏·专题练习
8 . 如图所示,M,N是圆O:
上的两个动点,线段MO的延长线与直线l:
交于点P,若
,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/1/2/2885854996611072/2935526760628224/STEM/d24a8372ddce4eeb8a7995fa9a47e691.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1cb41222d27da278a922db1cd5cb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd3c5e3d4ff3a7d3f36570f10c69256.png)
![](https://img.xkw.com/dksih/QBM/2022/1/2/2885854996611072/2935526760628224/STEM/d24a8372ddce4eeb8a7995fa9a47e691.png?resizew=142)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
2021高二·江苏·专题练习
9 . 在平面直角坐标系xOy中,已知
,
,动点
满足
,直线l:
与动点Q的轨迹交于A,B两点,记动点Q轨迹的对称中心为点C,则当
面积最大时,直线l的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7033df77c947c0fc6a789a6b50af806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bebb4a153a6cf27aeaf1937810e65c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd09a3b8feed807670d56125bdbc03c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128be35dd4e6620f88df339f8fcf667b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae99eb2f5547b5576cc75160154da06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021高二·江苏·专题练习
10 . 在平面直角坐标系xOy中,已知
的顶点分别为
,圆
为
的外接圆.
(1)求圆
的方程;
(2)设直线
与圆
交于
两点,若
,求直线l的方程;
(3)设圆
上存在点P,满足过点P向圆
作两条切线PA,PB,切点为
,四边形
的面积为10,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d02c77f359c268faa5184d6652f2703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d920b6840b19f2ae251a9f413198d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c2c469e50b231ff7667fbc96c19ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eef4185babfbca5f05e6af495b92516.png)
(3)设圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a50c7c9f5b4cf1ef49819514fc1d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c72229b08c676c08a3c7258895375f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515bb175135569a859e449daf2e4f04f.png)
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